Symmetries and Dualities in Name-Passing Process Calculi

نویسندگان

  • Daniel Hirschkoff
  • Jean-Marie Madiot
  • Davide Sangiorgi
چکیده

We study symmetries and duality between input and output in the π-calculus. We show that in dualisable versions of π, including πI and fusions, duality breaks with the addition of ordinary input/output types. We illustrate two proposals of calculi that overcome these problems. One approach is based on a modification of fusion calculi in which the name equivalences produced by fusions are replaced by name preorders, and with a distinction between positive and negative occurrences of names. The resulting calculus allows us to import subtype systems, and related results, from the pi-calculus. The second approach consists in taking the minimal symmetrical conservative extension of π with input/output types.

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تاریخ انتشار 2014